%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP130-2.005 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:24:28 PM UTC 2026
% Result : Satisfiable 1.81s 1.85s
% Output : Saturation 1.81s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_2) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(qg3,negated_conjecture,
( product(X4,X2,X1)
| ~ product(X1,X2,X3)
| ~ product(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_1) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_then_e_5) ).
cnf(c_0_45,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_46,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_47,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_48,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_49,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_50,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_51,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_52,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]),
[final] ).
cnf(c_0_54,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_55,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_56,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_57,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_58,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_59,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_53,c_0_52]),
[final] ).
cnf(c_0_60,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_54,c_0_52]),
[final] ).
cnf(c_0_61,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_62,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_58]),c_0_59]),c_0_60]),
[final] ).
cnf(c_0_63,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_64,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_65,negated_conjecture,
( product(X4,X2,X1)
| ~ product(X1,X2,X3)
| ~ product(X1,X3,X4) ),
qg3,
[final] ).
cnf(c_0_66,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_67,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_63]),
[final] ).
cnf(c_0_68,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_64]),
[final] ).
cnf(c_0_69,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),
[final] ).
cnf(c_0_70,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_68,c_0_50]) ).
cnf(c_0_71,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_73,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_74,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_75,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_76,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_77,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]),
[final] ).
cnf(c_0_78,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_72]),
[final] ).
cnf(c_0_79,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_80,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_73]),
[final] ).
cnf(c_0_81,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_74]),
[final] ).
cnf(c_0_82,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_83,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_5,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_75]) ).
cnf(c_0_84,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_63]),
[final] ).
cnf(c_0_85,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_77]),
[final] ).
cnf(c_0_86,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_87,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_80,c_0_79]),
[final] ).
cnf(c_0_88,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_89,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_81,c_0_82]),
[final] ).
cnf(c_0_90,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_84]),c_0_85]) ).
cnf(c_0_91,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_86]),c_0_87]) ).
cnf(c_0_92,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_93,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_88]),c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_91]) ).
cnf(c_0_96,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_92]),
[final] ).
cnf(c_0_97,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_98,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_91]) ).
cnf(c_0_101,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_96,c_0_88]) ).
cnf(c_0_102,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_56]),
[final] ).
cnf(c_0_103,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_93]),c_0_60]) ).
cnf(c_0_104,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_108,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_109,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_110,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_60]),c_0_106]) ).
cnf(c_0_112,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]),
[final] ).
cnf(c_0_113,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_114,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_63]),
[final] ).
cnf(c_0_115,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_100]) ).
cnf(c_0_116,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_111]),c_0_112]) ).
cnf(c_0_117,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_63]),
[final] ).
cnf(c_0_118,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_91]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_116,c_0_101]) ).
cnf(c_0_120,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_91]) ).
cnf(c_0_121,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_120]),
[final] ).
cnf(c_0_123,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_117]) ).
cnf(c_0_125,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_101]),c_0_124]) ).
cnf(c_0_126,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_5,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_125]) ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_120]) ).
cnf(c_0_128,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_129,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_120]),
[final] ).
cnf(c_0_130,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_103]),c_0_106]) ).
cnf(c_0_131,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_88]),
[final] ).
cnf(c_0_132,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_56]),
[final] ).
cnf(c_0_133,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_130]),c_0_117]) ).
cnf(c_0_135,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_136,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_64]) ).
cnf(c_0_137,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_120]),
[final] ).
cnf(c_0_138,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_133]) ).
cnf(c_0_139,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_120]) ).
cnf(c_0_140,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_56]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_136]),c_0_137]) ).
cnf(c_0_142,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_128]),c_0_67]) ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_133]),c_0_129]) ).
cnf(c_0_144,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_139]),c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_141]),c_0_117]) ).
cnf(c_0_146,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_147,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_141]),c_0_145]) ).
cnf(c_0_149,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_56]),
[final] ).
cnf(c_0_150,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_63]),
[final] ).
cnf(c_0_151,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_152,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_147]),c_0_84]) ).
cnf(c_0_153,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_148]),c_0_149]) ).
cnf(c_0_154,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_155,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_156,plain,
( product(e_1,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_62]),
[final] ).
cnf(c_0_157,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_151]),
[final] ).
cnf(c_0_158,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_56]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_118]),c_0_117]),
[final] ).
cnf(c_0_160,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_63]),
[final] ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_148]),c_0_152]),c_0_153]) ).
cnf(c_0_162,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_154,c_0_108]),
[final] ).
cnf(c_0_163,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_108]),
[final] ).
cnf(c_0_164,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_57,c_0_151]) ).
cnf(c_0_165,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_77]) ).
cnf(c_0_166,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_156]),
[final] ).
cnf(c_0_167,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_64]) ).
cnf(c_0_168,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_120]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_111]) ).
cnf(c_0_170,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_56]),
[final] ).
cnf(c_0_171,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_156]),
[final] ).
cnf(c_0_172,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_63]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_161]),c_0_162]),c_0_163]),
[final] ).
cnf(c_0_174,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_164]),c_0_165]),
[final] ).
cnf(c_0_175,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_164]),c_0_84]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_167]),c_0_168]) ).
cnf(c_0_177,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_169]),c_0_170]) ).
cnf(c_0_178,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_164]),c_0_172]),
[final] ).
cnf(c_0_179,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_173]),
[final] ).
cnf(c_0_180,plain,
( product(e_2,e_1,e_3)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_91]),c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_177,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),
[final] ).
cnf(c_0_184,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_129]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_122]) ).
cnf(c_0_186,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_135,c_0_108]),
[final] ).
cnf(c_0_187,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_108]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_147]),c_0_184]) ).
cnf(c_0_189,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_113,c_0_108]),
[final] ).
cnf(c_0_190,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]),
[final] ).
cnf(c_0_191,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_161]) ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_185]),c_0_186]) ).
cnf(c_0_193,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_194,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_120]),c_0_129]) ).
cnf(c_0_195,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_103]),c_0_159]) ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_197,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_195]),c_0_176]) ).
cnf(c_0_198,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_56]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_152,c_0_196]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_197]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_197]),c_0_152]),c_0_200]) ).
cnf(c_0_203,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_120]),c_0_152]) ).
cnf(c_0_204,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_202]),c_0_162]),c_0_163]) ).
cnf(c_0_205,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_203]),c_0_114]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_204]) ).
cnf(c_0_207,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_163]),c_0_162]),
[final] ).
cnf(c_0_208,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_108]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_147,c_0_207]) ).
cnf(c_0_210,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_197]),c_0_208]) ).
cnf(c_0_211,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_209]),c_0_114]) ).
cnf(c_0_212,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_168]) ).
cnf(c_0_213,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_210,c_0_167]) ).
cnf(c_0_214,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_168]),c_0_198]),c_0_212]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_148]),c_0_208]) ).
cnf(c_0_216,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_137]) ).
cnf(c_0_217,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_56]),
[final] ).
cnf(c_0_218,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_215,c_0_136]) ).
cnf(c_0_220,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_137]),c_0_149]),c_0_216]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_222,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_223,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_148]),c_0_65]),c_0_217]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
cnf(c_0_225,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_224]),c_0_149]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_225]),c_0_209]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_197]),c_0_217]) ).
cnf(c_0_228,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_129]),
[final] ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_226]),c_0_117]) ).
cnf(c_0_230,negated_conjecture,
( product(e_2,e_5,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_225]),c_0_198]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_202]),c_0_228]),c_0_190]),
[final] ).
cnf(c_0_232,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_129]),c_0_226]),
[final] ).
cnf(c_0_233,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_230]),c_0_231]),
[final] ).
cnf(c_0_234,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_232])]) ).
cnf(c_0_235,negated_conjecture,
( product(e_2,e_5,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_197]),c_0_65]),c_0_170]),
[final] ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_148]),c_0_65]),c_0_140]) ).
cnf(c_0_237,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_218,c_0_233]) ).
cnf(c_0_238,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_234]),c_0_190]),
[final] ).
cnf(c_0_239,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_96,c_0_64]) ).
cnf(c_0_240,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_235]),c_0_236]),
[final] ).
cnf(c_0_241,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_56]),
[final] ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_122]) ).
cnf(c_0_243,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_237]) ).
cnf(c_0_244,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_224,c_0_238]) ).
cnf(c_0_245,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_122]),c_0_241]),c_0_242]),
[final] ).
cnf(c_0_247,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_5)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_243]) ).
cnf(c_0_248,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_244]) ).
cnf(c_0_249,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_62]),
[final] ).
cnf(c_0_250,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_62]),
[final] ).
cnf(c_0_251,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_252,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_244]),c_0_140]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_140,c_0_247]) ).
cnf(c_0_254,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_234]) ).
cnf(c_0_255,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_243]),
[final] ).
cnf(c_0_256,negated_conjecture,
( ~ product(e_1,e_5,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_249]),c_0_67]),
[final] ).
cnf(c_0_257,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_50]) ).
cnf(c_0_258,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_250]),c_0_67]),
[final] ).
cnf(c_0_259,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_50]) ).
cnf(c_0_260,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_261,negated_conjecture,
~ product(e_2,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_263,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_264,plain,
product(e_2,e_4,e_1),
inference(sr,[status(thm)],[c_0_260,c_0_261]),
[final] ).
cnf(c_0_265,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_241,c_0_260]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_262,c_0_257]) ).
cnf(c_0_267,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_263,c_0_259]) ).
cnf(c_0_268,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_264]),
[final] ).
cnf(c_0_269,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_265]) ).
cnf(c_0_270,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_255,c_0_265]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_266]) ).
cnf(c_0_272,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_267]) ).
cnf(c_0_273,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,X2,e_4)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_268]),
[final] ).
cnf(c_0_274,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_234]),c_0_270]),
[final] ).
cnf(c_0_275,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_268]) ).
cnf(c_0_276,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_237]),c_0_268]) ).
cnf(c_0_277,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_234]),c_0_268]) ).
cnf(c_0_278,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_75]),c_0_274]),c_0_275]) ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_5,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_213]) ).
cnf(c_0_280,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_276]) ).
cnf(c_0_281,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_277]) ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_278,c_0_244]) ).
cnf(c_0_283,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_279,c_0_213]) ).
cnf(c_0_284,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_276]) ).
cnf(c_0_285,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_280,c_0_277]) ).
cnf(c_0_286,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_268]) ).
cnf(c_0_287,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_5,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_283,c_0_214]) ).
cnf(c_0_288,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_96,c_0_151]) ).
cnf(c_0_289,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_284,c_0_282]) ).
cnf(c_0_290,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_285]),c_0_286]) ).
cnf(c_0_291,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_287,c_0_233]) ).
cnf(c_0_292,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_288]) ).
cnf(c_0_293,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_289]),c_0_149]) ).
cnf(c_0_294,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_290]) ).
cnf(c_0_295,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,X1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_291]),c_0_84]) ).
cnf(c_0_296,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_264])]) ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_291]) ).
cnf(c_0_298,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_62]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_286]),c_0_268]) ).
cnf(c_0_300,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_294,c_0_291]) ).
cnf(c_0_301,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).
cnf(c_0_302,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_298]),
[final] ).
cnf(c_0_303,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_96,c_0_50]) ).
cnf(c_0_304,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_299]) ).
cnf(c_0_305,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_149,c_0_300]) ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_3)
| product(e_4,X1,e_5)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_301]) ).
cnf(c_0_307,negated_conjecture,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_5)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_164]) ).
cnf(c_0_308,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_298]),c_0_67]),
[final] ).
cnf(c_0_309,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_140]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_291]),c_0_305]) ).
cnf(c_0_311,negated_conjecture,
( product(e_4,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_306,c_0_301]) ).
cnf(c_0_312,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_164]),c_0_58]) ).
cnf(c_0_313,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_249]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_308,c_0_303]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_316,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_268]) ).
cnf(c_0_317,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_311]) ).
cnf(c_0_318,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_295,c_0_312]) ).
cnf(c_0_319,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_257]),c_0_217]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_314,c_0_303]) ).
cnf(c_0_321,negated_conjecture,
~ product(e_1,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_315]),c_0_190]),c_0_189]),c_0_316]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_89]) ).
cnf(c_0_323,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_319,c_0_310]) ).
cnf(c_0_324,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_320,c_0_321]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_322]),c_0_311]) ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_323]),c_0_276]) ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_160,c_0_324]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_325]),c_0_291]) ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_318]) ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_326]) ).
cnf(c_0_331,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_332,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_329,c_0_301]) ).
cnf(c_0_333,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_310]) ).
cnf(c_0_334,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_335,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_332]) ).
cnf(c_0_336,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_337,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_335,c_0_120]) ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_282]) ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_150,c_0_336]) ).
cnf(c_0_340,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_337]),c_0_291]) ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_4,X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_338,c_0_268]) ).
cnf(c_0_342,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_343,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_244]) ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_342]),c_0_232])]) ).
cnf(c_0_345,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_343]) ).
cnf(c_0_346,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_225]),c_0_190]),
[final] ).
cnf(c_0_347,negated_conjecture,
product(e_2,e_5,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_344]),c_0_264])]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_268]) ).
cnf(c_0_349,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_57,c_0_92]) ).
cnf(c_0_350,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_194,c_0_346]) ).
cnf(c_0_351,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_217,c_0_347]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_244]) ).
cnf(c_0_353,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_349]) ).
cnf(c_0_354,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_355,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_286]) ).
cnf(c_0_356,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_352,c_0_351]) ).
cnf(c_0_357,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_349]),c_0_59]) ).
cnf(c_0_358,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_354]),c_0_114]),
[final] ).
cnf(c_0_359,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_268]) ).
cnf(c_0_360,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_355,c_0_286]) ).
cnf(c_0_361,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_356]) ).
cnf(c_0_362,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_363,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_63]),
[final] ).
cnf(c_0_364,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_347])]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_160,c_0_360]) ).
cnf(c_0_366,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_63]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_59]) ).
cnf(c_0_368,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_354]),c_0_117]),
[final] ).
cnf(c_0_369,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_63]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_277,c_0_364]) ).
cnf(c_0_371,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_286,c_0_364]) ).
cnf(c_0_372,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_365,c_0_254]) ).
cnf(c_0_373,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_347]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_103,c_0_368]) ).
cnf(c_0_376,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_369,c_0_370]),
[final] ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_3,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_378,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_370]) ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_371]) ).
cnf(c_0_380,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_372]) ).
cnf(c_0_381,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_88]) ).
cnf(c_0_382,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,X2,e_5)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_373]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_384,negated_conjecture,
product(e_2,e_3,e_5),
inference(sr,[status(thm)],[c_0_234,c_0_351]),
[final] ).
cnf(c_0_385,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_376]) ).
cnf(c_0_386,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_347])]) ).
cnf(c_0_387,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_108]),
[final] ).
cnf(c_0_388,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[c_0_254,c_0_351]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_198,c_0_356]) ).
cnf(c_0_390,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_369]) ).
cnf(c_0_391,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_268]) ).
cnf(c_0_392,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_3,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_381]),c_0_369]) ).
cnf(c_0_393,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384])]),c_0_87]) ).
cnf(c_0_394,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]),
[final] ).
cnf(c_0_395,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_366,c_0_388]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_397,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_391,c_0_244]) ).
cnf(c_0_398,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_394]),c_0_395]),c_0_396]) ).
cnf(c_0_399,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_146,c_0_108]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_397,c_0_351]) ).
cnf(c_0_401,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_398]),c_0_399]),
[final] ).
cnf(c_0_402,negated_conjecture,
product(e_3,e_5,e_1),
inference(sr,[status(thm)],[c_0_400,c_0_401]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_402]),
[final] ).
cnf(c_0_404,negated_conjecture,
product(e_1,e_2,e_3),
inference(sr,[status(thm)],[c_0_386,c_0_401]),
[final] ).
cnf(c_0_405,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_403]),c_0_404])]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_402]),c_0_368]),c_0_405]) ).
cnf(c_0_407,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_403]),c_0_404])]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_140,c_0_406]) ).
cnf(c_0_409,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_375]),
[final] ).
cnf(c_0_410,negated_conjecture,
product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_406]),c_0_407]),c_0_394]),c_0_395]),c_0_408]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_132,c_0_409]) ).
cnf(c_0_412,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_410]),
[final] ).
cnf(c_0_413,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_68,c_0_88]) ).
cnf(c_0_414,negated_conjecture,
( product(e_3,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_409]),c_0_394]),c_0_395]),c_0_411]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_264]) ).
cnf(c_0_416,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_160,c_0_371]) ).
cnf(c_0_417,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_412,c_0_375]) ).
cnf(c_0_418,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_1,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_413]) ).
cnf(c_0_419,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_414]),c_0_384])]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_241,c_0_415]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_375]) ).
cnf(c_0_422,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_386]),
[final] ).
cnf(c_0_423,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_416]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_417]) ).
cnf(c_0_425,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_415]),c_0_419]),c_0_420]) ).
cnf(c_0_426,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_423]),c_0_61]),
[final] ).
cnf(c_0_427,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_417]),c_0_407]),c_0_394]),c_0_395]),c_0_424]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_384]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_430,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_68,c_0_151]) ).
cnf(c_0_431,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_189,c_0_427]),
[final] ).
cnf(c_0_432,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_428]) ).
cnf(c_0_433,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_371]) ).
cnf(c_0_434,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_400]),c_0_140]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_241,c_0_429]) ).
cnf(c_0_436,negated_conjecture,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_1,X1,e_5)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_430]) ).
cnf(c_0_437,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_354,c_0_431]),
[final] ).
cnf(c_0_438,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_150,c_0_404]),
[final] ).
cnf(c_0_439,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_427])]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_429]),c_0_434]),c_0_435]) ).
cnf(c_0_441,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_378,c_0_386]) ).
cnf(c_0_442,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_438]),c_0_439]),c_0_58]) ).
cnf(c_0_443,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_440,c_0_431]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_441]),c_0_386]) ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_290,c_0_364]) ).
cnf(c_0_446,negated_conjecture,
product(e_5,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_442]),c_0_443])]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_444]) ).
cnf(c_0_448,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_92]) ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_160,c_0_445]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_446]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_447,c_0_388]) ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_343,c_0_351]) ).
cnf(c_0_453,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_172,c_0_312]) ).
cnf(c_0_454,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_366,c_0_448]) ).
cnf(c_0_455,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_449]),c_0_351]),c_0_160]),
[final] ).
cnf(c_0_456,negated_conjecture,
product(e_4,e_1,e_5),
inference(spm,[status(thm)],[c_0_450,c_0_437]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_5,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_320]) ).
cnf(c_0_458,negated_conjecture,
product(e_1,e_3,e_4),
inference(sr,[status(thm)],[c_0_451,c_0_401]),
[final] ).
cnf(c_0_459,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_378,c_0_452]) ).
cnf(c_0_460,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_453,c_0_357]) ).
cnf(c_0_461,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_402])]),c_0_455]) ).
cnf(c_0_462,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_158,c_0_456]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_321]) ).
cnf(c_0_464,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_266]) ).
cnf(c_0_465,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_459]),c_0_452]) ).
cnf(c_0_466,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_62]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_460]),c_0_366]) ).
cnf(c_0_468,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_469,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_463]),c_0_458])]) ).
cnf(c_0_470,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_464,c_0_266]) ).
cnf(c_0_471,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_366,c_0_465]) ).
cnf(c_0_472,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_77]),
[final] ).
cnf(c_0_473,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_466]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_1,e_5,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_326]),c_0_84]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_467,c_0_103]) ).
cnf(c_0_476,plain,
product(e_4,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_468]),c_0_347])]),
[final] ).
cnf(c_0_477,negated_conjecture,
product(e_5,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_469]),c_0_404])]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_440]) ).
cnf(c_0_479,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_470]) ).
cnf(c_0_480,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_5,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_471]) ).
cnf(c_0_481,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_93]),c_0_472]) ).
cnf(c_0_482,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_93]),c_0_117]) ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_474]) ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_474]),
[final] ).
cnf(c_0_485,plain,
( product(e_1,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_62]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_475]),c_0_114]),c_0_117]) ).
cnf(c_0_487,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_476]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_477]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_478,c_0_415]) ).
cnf(c_0_490,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_470]),c_0_479]) ).
cnf(c_0_491,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_480]),c_0_388])]) ).
cnf(c_0_492,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_347])]) ).
cnf(c_0_493,negated_conjecture,
( product(e_1,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_326]),c_0_117]),
[final] ).
cnf(c_0_494,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_91]),c_0_482]) ).
cnf(c_0_495,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_151]) ).
cnf(c_0_496,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_290]),c_0_484]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_445]),
[final] ).
cnf(c_0_498,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_485]) ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_486,c_0_120]) ).
cnf(c_0_500,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_485]) ).
cnf(c_0_501,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_485]),
[final] ).
cnf(c_0_502,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_156]),
[final] ).
cnf(c_0_503,negated_conjecture,
product(e_3,e_1,e_4),
inference(spm,[status(thm)],[c_0_487,c_0_456]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_5,X2,e_3)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_488]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_402])]),
[final] ).
cnf(c_0_506,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_489,c_0_431]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_490]),c_0_241]) ).
cnf(c_0_508,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_509,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_160,c_0_452]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_452]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_452]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_370]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_331]) ).
cnf(c_0_514,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_493]) ).
cnf(c_0_515,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_493]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_494]) ).
cnf(c_0_517,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_88]) ).
cnf(c_0_518,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_494]) ).
cnf(c_0_519,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_77]) ).
cnf(c_0_520,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_363,c_0_495]) ).
cnf(c_0_521,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_364,c_0_496]),
[final] ).
cnf(c_0_522,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_497]),c_0_351]),c_0_150]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_237]) ).
cnf(c_0_524,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_208]),c_0_500]),c_0_501]),
[final] ).
cnf(c_0_525,negated_conjecture,
( ~ product(e_5,e_1,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_502,c_0_268]),
[final] ).
cnf(c_0_526,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_96,c_0_92]) ).
cnf(c_0_527,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_480]) ).
cnf(c_0_528,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_503]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_456]),
[final] ).
cnf(c_0_530,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_480]) ).
cnf(c_0_531,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_458]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_404]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506])]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_450,c_0_428]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_421,c_0_400]) ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_321]),c_0_363]) ).
cnf(c_0_537,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_509]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_2,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_510]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_511]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_357]) ).
cnf(c_0_541,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_375]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_512]) ).
cnf(c_0_543,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_386]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_370]),
[final] ).
cnf(c_0_545,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_466]) ).
cnf(c_0_546,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_466]) ).
cnf(c_0_547,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_493]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_513,c_0_301]) ).
cnf(c_0_549,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_290]),c_0_515]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_360]),c_0_208]) ).
cnf(c_0_551,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_132,c_0_494]) ).
cnf(c_0_552,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_517]),c_0_518]) ).
cnf(c_0_553,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_349]),c_0_519]) ).
cnf(c_0_554,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_349]),c_0_114]) ).
cnf(c_0_555,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_490]) ).
cnf(c_0_556,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_5,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_219]) ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_169]),c_0_140]) ).
cnf(c_0_558,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_402])]),c_0_521]),c_0_522]) ).
cnf(c_0_559,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_277]) ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_492]) ).
cnf(c_0_561,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_523]) ).
cnf(c_0_562,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_298]) ).
cnf(c_0_563,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_156]),c_0_524]),c_0_525]) ).
cnf(c_0_564,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_77]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_1,e_4,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_488]),
[final] ).
cnf(c_0_566,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_517]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_445]),
[final] ).
cnf(c_0_568,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_526]) ).
cnf(c_0_569,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_480]),c_0_388])]) ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_189,c_0_528]),
[final] ).
cnf(c_0_571,negated_conjecture,
( ~ product(e_4,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_160,c_0_488]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_443]),
[final] ).
cnf(c_0_573,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_187,c_0_488]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_529]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product(e_5,X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_190,c_0_529]),
[final] ).
cnf(c_0_576,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_402])]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_531,c_0_403]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_532,c_0_268]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_4,X2,e_2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_533]),
[final] ).
cnf(c_0_580,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_480]) ).
cnf(c_0_581,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_480]) ).
cnf(c_0_582,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_487,c_0_534]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,X2,e_3)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_428]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_427]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_5,X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_488]),c_0_347])]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_506]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_535,c_0_401]) ).
cnf(c_0_588,negated_conjecture,
product(e_1,e_5,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_402])]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_159,c_0_393]) ).
cnf(c_0_590,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_393]) ).
cnf(c_0_591,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_537]) ).
cnf(c_0_592,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_537]) ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_538]) ).
cnf(c_0_594,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_538]) ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_539]) ).
cnf(c_0_596,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_539]) ).
cnf(c_0_597,negated_conjecture,
( product(e_4,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_509]),c_0_358]),c_0_521]),c_0_61]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_132,c_0_541]) ).
cnf(c_0_599,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_452]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_543]),c_0_369]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_370]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_369,c_0_492]) ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_544]) ).
cnf(c_0_604,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_386]) ).
cnf(c_0_605,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_499]),c_0_546]),c_0_208]),c_0_473]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_150,c_0_371]) ).
cnf(c_0_607,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_117]) ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_474]) ).
cnf(c_0_609,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_549]) ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_493]) ).
cnf(c_0_611,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_550]) ).
cnf(c_0_612,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_193,c_0_499]) ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_175,c_0_148]) ).
cnf(c_0_614,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_381]),c_0_551]) ).
cnf(c_0_615,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_245]) ).
cnf(c_0_616,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_482,c_0_197]) ).
cnf(c_0_617,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_552]),c_0_366]) ).
cnf(c_0_618,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,X2,e_3)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_179]),
[final] ).
cnf(c_0_619,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_91]),c_0_554]) ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_129]),
[final] ).
cnf(c_0_621,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_485]) ).
cnf(c_0_622,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_555,c_0_320]) ).
cnf(c_0_623,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_485]),
[final] ).
cnf(c_0_624,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_156]) ).
cnf(c_0_625,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_156]),
[final] ).
cnf(c_0_626,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_77]) ).
cnf(c_0_627,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_77]),
[final] ).
cnf(c_0_628,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_466]) ).
cnf(c_0_629,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_466]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_120]),c_0_137]) ).
cnf(c_0_631,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_250]) ).
cnf(c_0_632,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_250]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_141]),c_0_145]) ).
cnf(c_0_634,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_68,c_0_92]) ).
cnf(c_0_635,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_249]),
[final] ).
cnf(c_0_636,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_249]),
[final] ).
cnf(c_0_637,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_151]) ).
cnf(c_0_638,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_639,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_640,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_641,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_642,plain,
( product(e_5,e_5,e_3)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_558]),
[final] ).
cnf(c_0_643,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_356]),c_0_117]),
[final] ).
cnf(c_0_644,plain,
( product(e_5,e_5,e_3)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_198,c_0_558]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_541]) ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_428]) ).
cnf(c_0_647,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_428]) ).
cnf(c_0_648,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_471]) ).
cnf(c_0_649,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_416]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_364]),c_0_387]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_452]) ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_373]) ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_561]) ).
cnf(c_0_654,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_562,c_0_268]) ).
cnf(c_0_655,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_563]) ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_268]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_564,c_0_268]),
[final] ).
cnf(c_0_658,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_260]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(e_5,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_156]),c_0_67]),
[final] ).
cnf(c_0_660,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_488]),c_0_506])]),
[final] ).
cnf(c_0_661,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_381]),c_0_392]) ).
cnf(c_0_662,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(spm,[status(thm)],[c_0_364,c_0_549]),
[final] ).
cnf(c_0_663,negated_conjecture,
~ product(e_3,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_567]),c_0_351]),c_0_369]),
[final] ).
cnf(c_0_664,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_398]),c_0_217]),
[final] ).
cnf(c_0_665,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_568,c_0_264])]) ).
cnf(c_0_666,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_569,c_0_402])]),
[final] ).
cnf(c_0_667,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_172,c_0_506]),
[final] ).
cnf(c_0_668,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_102,c_0_456]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_570,c_0_373]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product(e_4,X1,e_5)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_571,c_0_572]),
[final] ).
cnf(c_0_671,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_573,c_0_268]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_574,c_0_572]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_575,c_0_428]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_576,c_0_373]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_533]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(e_5,X1,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_399,c_0_533]),
[final] ).
cnf(c_0_677,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_533]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_528]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_488]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product(e_1,X1,e_4)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_162,c_0_488]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_363,c_0_529]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_529]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product(e_4,X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_162,c_0_534]),
[final] ).
cnf(c_0_684,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_172,c_0_572]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_5,e_4,e_1)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_504,c_0_324]),
[final] ).
cnf(c_0_686,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_577]),
[final] ).
cnf(c_0_687,negated_conjecture,
( ~ product(e_4,X1,e_4)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_387,c_0_577]),
[final] ).
cnf(c_0_688,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_577]),
[final] ).
cnf(c_0_689,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_399,c_0_578]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_3,X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_578]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_160,c_0_403]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_403]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_403]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_2,X2,e_5)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_579,c_0_373]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_189,c_0_403]),
[final] ).
cnf(c_0_696,negated_conjecture,
( ~ product(e_5,e_5,e_3)
| ~ product(e_5,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_488]),c_0_112]),
[final] ).
cnf(c_0_697,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_580,c_0_402])]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_402])]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,X2,e_1)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_528]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,X2,e_3)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_582]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_533]),c_0_427])]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_4,X2,e_1)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_529]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,X2,e_3)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_534]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_3,X2,e_2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_572]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_584]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,X2,e_5)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_577]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_5,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_324]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,X2,e_4)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_578]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,X2,e_5)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_403]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_528]),c_0_384])]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_4,X2,e_2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_505]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_585,c_0_572]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_586,c_0_529]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_437]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_489]),
[final] ).
cnf(c_0_716,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_363,c_0_489]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_140,c_0_489]),
[final] ).
cnf(c_0_718,plain,
( product(e_5,e_5,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_172,c_0_558]),
[final] ).
cnf(c_0_719,plain,
( product(e_5,e_5,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_558]),
[final] ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_587]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_587]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_588]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_447,c_0_373]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_589]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_399,c_0_589]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_590]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(e_3,e_5,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_590]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_451]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_451]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_399,c_0_444]),
[final] ).
cnf(c_0_731,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_492]),c_0_160]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_492]),c_0_160]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_102,c_0_362]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_492]),c_0_67]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_492]),c_0_67]),
[final] ).
cnf(c_0_736,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_362]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_362]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_132,c_0_362]),
[final] ).
cnf(c_0_739,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_492]),c_0_369]),
[final] ).
cnf(c_0_740,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_492]),c_0_369]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_597]),c_0_387]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_537]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_537]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_369,c_0_537]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_537]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_2)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_190,c_0_537]),
[final] ).
cnf(c_0_747,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_538]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_538]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_369,c_0_538]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_538]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_428]),c_0_163]),
[final] ).
cnf(c_0_752,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,X1,e_2)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_190,c_0_538]),
[final] ).
cnf(c_0_753,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_539]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_539]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_369,c_0_539]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_539]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_1,X1,e_2)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_190,c_0_539]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product(e_3,e_3,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_541]),c_0_394]),c_0_395]),c_0_598]),
[final] ).
cnf(c_0_759,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_3,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_541]),c_0_112]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_409]),c_0_112]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_4,e_3,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_599]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_510]),c_0_358]),c_0_521]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_511]),c_0_358]),c_0_521]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_4,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_512]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_600,c_0_541]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_541]),
[final] ).
cnf(c_0_767,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_541]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_409]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_409]),
[final] ).
cnf(c_0_770,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_599]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_399,c_0_599]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_5,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_544]),
[final] ).
cnf(c_0_773,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_601]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_602]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_603,c_0_602]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_603,c_0_560]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_509]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_509]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_510]),
[final] ).
cnf(c_0_780,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_510]),
[final] ).
cnf(c_0_781,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_510]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_510]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_511]),
[final] ).
cnf(c_0_784,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_511]),
[final] ).
cnf(c_0_785,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_511]),
[final] ).
cnf(c_0_786,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_511]),
[final] ).
cnf(c_0_787,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_422]),c_0_369]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_249]),c_0_605]),
[final] ).
cnf(c_0_789,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_541]),
[final] ).
cnf(c_0_790,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_409]),
[final] ).
cnf(c_0_791,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_386]),
[final] ).
cnf(c_0_792,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_150,c_0_416]),
[final] ).
cnf(c_0_793,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_160,c_0_606]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_603,c_0_452]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_603,c_0_386]),
[final] ).
cnf(c_0_796,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_606]),
[final] ).
cnf(c_0_797,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_369,c_0_606]),
[final] ).
cnf(c_0_798,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_512]),
[final] ).
cnf(c_0_799,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_544]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_399,c_0_400]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_400]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_400]),
[final] ).
cnf(c_0_803,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_376]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_376]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_150,c_0_452]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_601]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_601]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_354]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_158,c_0_354]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_354]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_132,c_0_354]),
[final] ).
cnf(c_0_812,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_428]),
[final] ).
cnf(c_0_813,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_363,c_0_428]),
[final] ).
cnf(c_0_814,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_560]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_369,c_0_560]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_602]),
[final] ).
cnf(c_0_817,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_602]),
[final] ).
cnf(c_0_818,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_602]),
[final] ).
cnf(c_0_819,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_543]),
[final] ).
cnf(c_0_820,negated_conjecture,
( ~ product(e_3,e_3,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_543]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_422]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product(e_3,e_3,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_422]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_388]),
[final] ).
cnf(c_0_824,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_366,c_0_373]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_160,c_0_386]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_150,c_0_386]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_373]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_198,c_0_373]),
[final] ).
cnf(c_0_829,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_172,c_0_607]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_363,c_0_607]),
[final] ).
cnf(c_0_831,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_607]),
[final] ).
cnf(c_0_832,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_241,c_0_607]),
[final] ).
cnf(c_0_833,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_607]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_324]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_140,c_0_324]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_324]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_5,e_5,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_496]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,e_5,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_549]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_608,c_0_372]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_609,c_0_254]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_496]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_549]),
[final] ).
cnf(c_0_843,negated_conjecture,
( ~ product(e_5,e_5,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_608,c_0_550]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_608,c_0_343]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_474]),c_0_84]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_610,c_0_550]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_369,c_0_474]),
[final] ).
cnf(c_0_848,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_474]),
[final] ).
cnf(c_0_849,negated_conjecture,
( ~ product(e_5,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_493]),
[final] ).
cnf(c_0_850,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_5,e_5,e_4)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_474]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_493]),c_0_117]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,e_5,e_4)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_493]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_397]),c_0_140]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_397]),c_0_149]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_352]),c_0_117]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_298]),c_0_605]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_298]),c_0_605]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_249]),c_0_605]),c_0_160]),
[final] ).
cnf(c_0_859,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_298]),c_0_605]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_249]),c_0_605]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_160,c_0_550]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_550]),
[final] ).
cnf(c_0_863,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_550]),
[final] ).
cnf(c_0_864,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_550]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_290]),c_0_302]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_290]),c_0_140]),
[final] ).
cnf(c_0_867,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_563]),
[final] ).
cnf(c_0_868,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_563]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_563]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_319,c_0_268]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_350]),c_0_114]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_350]),c_0_117]),
[final] ).
cnf(c_0_873,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_160,c_0_268]),
[final] ).
cnf(c_0_874,negated_conjecture,
( ~ product(e_5,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_268]),
[final] ).
cnf(c_0_875,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_369,c_0_268]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_415]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_366,c_0_254]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_149,c_0_254]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_247]),
[final] ).
cnf(c_0_880,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_230]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_225]),c_0_189]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_224]),c_0_140]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_612]),c_0_114]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_613]),c_0_84]),
[final] ).
cnf(c_0_885,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_614]),c_0_132]),c_0_117]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_173]),c_0_241]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_616]),c_0_117]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_235]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_4,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_235]),
[final] ).
cnf(c_0_890,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_179]),c_0_117]),c_0_158]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_194]),c_0_208]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_241,c_0_179]),
[final] ).
cnf(c_0_893,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_179]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_198,c_0_179]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_619]),c_0_87]),c_0_158]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_173]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_190,c_0_173]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_161]),c_0_620]),c_0_190]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_552]),c_0_158]),c_0_117]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_623]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_622]),c_0_625]),c_0_158]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_622]),c_0_627]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_622]),c_0_629]),c_0_65]),
[final] ).
cnf(c_0_904,negated_conjecture,
( product(e_5,e_5,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_622]),c_0_112]),c_0_208]),c_0_369]),c_0_387]),
[final] ).
cnf(c_0_905,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_630]),c_0_501]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_630]),c_0_208]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_630]),c_0_473]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_139]),c_0_170]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_622]),c_0_632]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_622]),c_0_208]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_622]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_622]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_622]),c_0_140]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_622]),c_0_241]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_122]),c_0_242]),c_0_241]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_168]),c_0_212]),c_0_198]),
[final] ).
cnf(c_0_917,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_137]),c_0_216]),c_0_149]),
[final] ).
cnf(c_0_918,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_143]),c_0_241]),
[final] ).
cnf(c_0_919,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_633]),c_0_140]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_633]),c_0_117]),
[final] ).
cnf(c_0_921,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_119]),c_0_170]),
[final] ).
cnf(c_0_922,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_119]),c_0_241]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_119]),c_0_140]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_122]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_168]),
[final] ).
cnf(c_0_926,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_122]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_122]),
[final] ).
cnf(c_0_928,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_168]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_137]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_122]),c_0_208]),
[final] ).
cnf(c_0_931,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_168]),c_0_208]),
[final] ).
cnf(c_0_932,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_129]),c_0_208]),
[final] ).
cnf(c_0_933,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_137]),c_0_208]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_168]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_129]),
[final] ).
cnf(c_0_936,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_137]),
[final] ).
cnf(c_0_937,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_137]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_115]),c_0_114]),
[final] ).
cnf(c_0_939,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_164]),c_0_545]),
[final] ).
cnf(c_0_940,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_634]),
[final] ).
cnf(c_0_941,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_103]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_132,c_0_103]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_320]),
[final] ).
cnf(c_0_944,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_257]),c_0_170]),
[final] ).
cnf(c_0_945,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_257]),c_0_198]),
[final] ).
cnf(c_0_946,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_257]),c_0_562]),
[final] ).
cnf(c_0_947,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_517]),
[final] ).
cnf(c_0_948,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_363,c_0_637]),
[final] ).
cnf(c_0_949,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_257]),c_0_631]),
[final] ).
cnf(c_0_950,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_485]),
[final] ).
cnf(c_0_951,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_485]),
[final] ).
cnf(c_0_952,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_156]),
[final] ).
cnf(c_0_953,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_156]),
[final] ).
cnf(c_0_954,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_466]),
[final] ).
cnf(c_0_955,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_466]),
[final] ).
cnf(c_0_956,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_298]),
[final] ).
cnf(c_0_957,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_298]),
[final] ).
cnf(c_0_958,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_298]),
[final] ).
cnf(c_0_959,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_298]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_485]),c_0_67]),
[final] ).
cnf(c_0_961,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_77]),c_0_67]),
[final] ).
cnf(c_0_962,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_466]),c_0_67]),
[final] ).
cnf(c_0_963,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_249]),
[final] ).
cnf(c_0_964,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_249]),
[final] ).
cnf(c_0_965,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_249]),
[final] ).
cnf(c_0_966,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_66]),
[final] ).
cnf(c_0_967,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_66]),
[final] ).
cnf(c_0_968,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_66]),
[final] ).
cnf(c_0_969,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_66]),
[final] ).
cnf(c_0_970,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_66]),
[final] ).
cnf(c_0_971,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_160,c_0_250]),
[final] ).
cnf(c_0_972,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_250]),
[final] ).
cnf(c_0_973,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_250]),
[final] ).
cnf(c_0_974,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_250]),
[final] ).
cnf(c_0_975,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_637]),
[final] ).
cnf(c_0_976,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_637]),
[final] ).
cnf(c_0_977,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_198,c_0_517]),
[final] ).
cnf(c_0_978,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_638]),
[final] ).
cnf(c_0_979,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_639]),
[final] ).
cnf(c_0_980,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_640]),
[final] ).
cnf(c_0_981,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_641]),
[final] ).
cnf(c_0_982,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_186,c_0_503]),
[final] ).
cnf(c_0_983,plain,
~ product(e_4,e_3,e_3),
inference(spm,[status(thm)],[c_0_217,c_0_476]),
[final] ).
cnf(c_0_984,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_642]),c_0_643]),
[final] ).
cnf(c_0_985,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_644]),c_0_643]),
[final] ).
cnf(c_0_986,negated_conjecture,
~ product(e_5,e_1,e_3),
inference(spm,[status(thm)],[c_0_58,c_0_488]),
[final] ).
cnf(c_0_987,negated_conjecture,
~ product(e_1,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_488]),c_0_506])]),
[final] ).
cnf(c_0_988,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_488]),c_0_506])]),
[final] ).
cnf(c_0_989,negated_conjecture,
~ product(e_5,e_2,e_1),
inference(spm,[status(thm)],[c_0_149,c_0_477]),
[final] ).
cnf(c_0_990,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_399,c_0_477]),
[final] ).
cnf(c_0_991,negated_conjecture,
~ product(e_4,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_529]),c_0_446])]),
[final] ).
cnf(c_0_992,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_132,c_0_456]),
[final] ).
cnf(c_0_993,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_162,c_0_456]),
[final] ).
cnf(c_0_994,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_163,c_0_456]),
[final] ).
cnf(c_0_995,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(spm,[status(thm)],[c_0_363,c_0_506]),
[final] ).
cnf(c_0_996,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_140,c_0_506]),
[final] ).
cnf(c_0_997,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_645,c_0_427])]),
[final] ).
cnf(c_0_998,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_646,c_0_427])]),
[final] ).
cnf(c_0_999,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_647,c_0_427])]),
[final] ).
cnf(c_0_1000,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_241,c_0_410]),
[final] ).
cnf(c_0_1001,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_186,c_0_458]),
[final] ).
cnf(c_0_1002,negated_conjecture,
~ product(e_1,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_402])]),
[final] ).
cnf(c_0_1003,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_648,c_0_402])]),
[final] ).
cnf(c_0_1004,negated_conjecture,
~ product(e_4,e_2,e_3),
inference(spm,[status(thm)],[c_0_160,c_0_404]),
[final] ).
cnf(c_0_1005,negated_conjecture,
~ product(e_5,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_404])]),
[final] ).
cnf(c_0_1006,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_393]),c_0_112]),
[final] ).
cnf(c_0_1007,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_465]),c_0_241]),
[final] ).
cnf(c_0_1008,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_465]),c_0_149]),
[final] ).
cnf(c_0_1009,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_543]),c_0_649]),c_0_600]),
[final] ).
cnf(c_0_1010,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_599]),c_0_358]),c_0_521]),c_0_65]),c_0_132]),
[final] ).
cnf(c_0_1011,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_650]),c_0_560]),
[final] ).
cnf(c_0_1012,negated_conjecture,
~ product(e_1,e_5,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_249]),c_0_605]),c_0_160]),
[final] ).
cnf(c_0_1013,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_400]),c_0_149]),
[final] ).
cnf(c_0_1014,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_652,c_0_388])]),
[final] ).
cnf(c_0_1015,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_653,c_0_384])]),
[final] ).
cnf(c_0_1016,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_347])]),
[final] ).
cnf(c_0_1017,negated_conjecture,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_290]),c_0_112]),c_0_208]),
[final] ).
cnf(c_0_1018,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_156]),c_0_605]),
[final] ).
cnf(c_0_1019,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_282]),c_0_189]),c_0_656]),
[final] ).
cnf(c_0_1020,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_350]),c_0_208]),c_0_657]),
[final] ).
cnf(c_0_1021,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(spm,[status(thm)],[c_0_261,c_0_658]),
[final] ).
cnf(c_0_1022,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_66]),c_0_659]),c_0_208]),c_0_112]),c_0_387]),
[final] ).
cnf(c_0_1023,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_1024,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_1025,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_1026,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_1027,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_1028,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_1029,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_1030,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_1031,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_1032,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_1033,plain,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_558,c_0_660]),
[final] ).
cnf(c_0_1034,plain,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_661,c_0_662]),c_0_407]),c_0_394]),c_0_395]),c_0_663]),c_0_664]),
[final] ).
cnf(c_0_1035,plain,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_665,c_0_666]),c_0_667]),c_0_668]),
[final] ).
cnf(c_0_1036,negated_conjecture,
product(e_4,e_2,e_1),
inference(sr,[status(thm)],[c_0_444,c_0_401]),
[final] ).
cnf(c_0_1037,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP130-2.005 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n017.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:22:42 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.81/1.85 % Version : CSE_E---1.7
% 1.81/1.85 % Problem : theBenchmark.p
% 1.81/1.85 % SZS status Satisfiable for theBenchmark.p
% 1.81/1.85 % SZS output start Saturation
% See solution above
% 1.81/1.86 % Total time : 1.371s
%------------------------------------------------------------------------------